因式分解²y四次方-x四次方y²-搜答案-智慧作业帮

=2XY-(x的四次方+y的四次方)=2XY-(x的二次方+y的二次方)的二次方=2XY-(x的二次方-y的二次方)的二次方这是我大概算的,要是不对,那对不起了,我的算式到此为止,后面就我就不知道了.

16x的16次方-y的四次方z的四次方=(4x^8-y^2z^2)(4x^8+y^2z^2)=(2x^4-yz)(2x^4+yz)(4x^8+2y^2z^2)

2x^2y^4-8x^4y^6=2x^2y^4(1-4x^2y^2)=2x^2y^4[1^2-(2xy)^2]=2x^2y^4(1+2xy)(1-2xy)

x的四次方减y的四次方=(x^2+y^2)(x^2-y^2)=(x^2+y^2)(x+y)(x-y)

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½x²y四次方-8x²=1/2x²(y的4次方-16)=1/2x²(y²+4)(y²-4)==1/2x²(y²

原式＝(x-y)^4(x-y)(x-y)^3=(x-y)^4(x-y)^4=2(x-y)^4

答：x的四次方-5x²y²-36的四次方=(x²)²-5x²y²-36(y²)²=(x²-9y²)(

x四次方y四次方-2x²y²-3x四次方y四次方=-2x四次方y四次方-2x²y²=-2x²y²(2x²y²+1)

x四次方y四次方-8x平方y平方+16=（x²y²-4）²=（xy+2）²（xy-2）²

x^4+y^4=x^4+2x^2y^2+y^4-2x^2y^2=(x^2+y^2)^2-2x^2y^2=(x^2+y^2+√2*xy)(x^2+y^2-√2*xy)

解x^4++2x²y²+y^4-4x²y²=(x²+y²)²-(2xy)²=[(x²+y²)-2xy

x^4-13x^2y^2+36y^4=(x^2-4y^2)(x^2-9y^2)=(x+2y)(x-2y)(x+3y)(x-3y)

x的四次方-7x²y²-18y的四次方=(x^2-9y^2)(x^2+2y^2)=(x-3y)(x+3y)(x^2+2y^2)

=(3x^2+4y^2)^2-9x^2y^2=(3x^2-3xy+4y^2)(3x^2+3xy+4y^2)

令a=2x-y,b=2y-x,a+b=(2x-y)+(2y-x)=x+y(2x-y)四次方+(x+y)四次方+(2y-x)四次方=a四次方+(a+b)四次方+b四次方=(a+b)四次方+(a四次方+2

x四次方-5x²y²-36y=(x²-9y²)(x²+4y²)=(x+3y)(x-3y))(x²+4y²)

=2（y^2-16）=2（y+4）（y-4）

原式=(4x^4-8x²y²+4y^4)-x²y²=(2x²-2y²)²-x²y²=(2x²+xy-

原式=(x-y)²[a²-2a(x-y)+(x-y)²]=(x-y)²[a-(x-y)]²=(x-y)²(2a-x+y)²